Find the domain of each of the following functions:
(i) `f(x)=sin^(-1)x^2`
(ii) `f(x)=sin^(-1)x+sinx`

Explanation

(i) `f(x)=sin^(-1)x^2`

`sin^(-1)x rightarrow [-1,1]`

`implies -1 le |x^2| le 1`

`implies 0le |x^2| le 1`

`implies 0le |x| le 1`

`0 le x le 1` or `-1 le x le 0`

`x in [-1,1]`


(ii) `f(x)=sin^(-1)x+sinx`

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